Row and column finite matrices

Author:
Pace P. Nielsen

Journal:
Proc. Amer. Math. Soc. **135** (2007), 2689-2697

MSC (2000):
Primary 16S50; Secondary 16P40

Published electronically:
February 9, 2007

MathSciNet review:
2317941

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Abstract | References | Similar Articles | Additional Information

Abstract: Consider the ring of all column finite matrices over a ring . We prove that each such matrix is conjugate to a row and column finite matrix if and only if is right Noetherian and is countable. We then demonstrate that one can perform this conjugation on countably many matrices simultaneously. Some applications and limitations are given.

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Additional Information

**Pace P. Nielsen**

Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720

Email:
pace_nielsen@hotmail.com

DOI:
https://doi.org/10.1090/S0002-9939-07-08790-4

Keywords:
Row and column finite matrices,
endomorphism ring,
vector space

Received by editor(s):
November 19, 2005

Received by editor(s) in revised form:
May 12, 2006

Published electronically:
February 9, 2007

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2007
American Mathematical Society